Pawprint is correct-Peroxide does kill healthy tissue, which is why is should only be used on surface wounds or shallow wounds where the diluted Peroxide can be flushed clean. I apologize for not being more specific. The bubbling action though, has the great benefit of being a debris loosening agent. H2O2 reacts with blood and compounds from damaged tissue (because the cells are open) and produces oxygen bubbles that separate cells that are living, from debris. This is the only reason I recommend Peroxide water.I was a little vague, do not just pour peroxide on the wound, dilute it at least 50%.
Betadine actually kills the same amount of healthy tissue as peroxide. I had an issue with Betadine and the manufacturer gave me a very clear warning to never use Betadine on an open wound. Only on unbroken skin, very minor burns or cuts, and let the product dry before cutting (like in surgery, ie-caponizing). I had to confirm this with my vet those months ago, and she gave me a sterner warning. I honestly had no idea about this until I was corrected twice. If your chicken's wound is shallow, its a choice between both or saline, if the wound isn't full of debris then Betadine is probably better, but again only minor wounds. Otherwise saline is good for a little deeper wounds.
(Both Peroxide and Betadine do not affect skin because skin, epidermis, is dead tissue that is intact and free of the catalysts found in open cells, blood and muscle. This is why many people think peroxide is harmless, but both products are actually very damaging if used on deep wounds.)
No matter which method you use, do not use daily. Use once and then continue with the creme (Neosporin or their knock-offs work just as well). Read the packaging carefully as some knock-offs might work a lot different and not be able to be applied to certain wounds or have specific directions for animal bites.
Sorry for being a bit vague and sketchy on the details but just be aware that both products will damage some healthy tissue in deep wounds.